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Competitive Stats
Q31Section B (Section B)31 of 60

Monotone bounded sequence from a harmonic block

Let {an}n≥1\{a_n\}_{n\ge1} be a sequence of real numbers such that

an=∑k=n+12n1k,n≥1.a_n=\sum_{k=n+1}^{2n}\frac1k,\quad n\ge1.

Then which of the following statement(s) is (are) true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.